Information on Result #612239
Linear OA(3209, 6562, F3, 39) (dual of [6562, 6353, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (BCH-bound)
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3209, 3489, F3, 2, 39) (dual of [(3489, 2), 6769, 40]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3209, 3489, F3, 3, 39) (dual of [(3489, 3), 10258, 40]-NRT-code) | [i] | ||
| 3 | Linear OOA(3209, 3489, F3, 4, 39) (dual of [(3489, 4), 13747, 40]-NRT-code) | [i] | ||
| 4 | Linear OOA(3209, 3489, F3, 5, 39) (dual of [(3489, 5), 17236, 40]-NRT-code) | [i] | ||
| 5 | Digital (170, 209, 3489)-net over F3 | [i] | ||
| 6 | Linear OA(3228, 6582, F3, 39) (dual of [6582, 6354, 40]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 7 | Linear OA(3226, 6579, F3, 41) (dual of [6579, 6353, 42]-code) | [i] | ✔ | |
| 8 | Linear OA(3228, 6566, F3, 43) (dual of [6566, 6338, 44]-code) | [i] | ✔ | |
| 9 | Linear OA(3229, 6572, F3, 43) (dual of [6572, 6343, 44]-code) | [i] | ✔ | |
| 10 | Linear OA(3230, 6582, F3, 43) (dual of [6582, 6352, 44]-code) | [i] | ✔ | |
| 11 | Linear OA(3231, 6584, F3, 43) (dual of [6584, 6353, 44]-code) | [i] | ✔ | |
| 12 | Linear OA(3227, 6566, F3, 42) (dual of [6566, 6339, 43]-code) | [i] | ✔ | |
| 13 | Linear OA(3228, 6575, F3, 42) (dual of [6575, 6347, 43]-code) | [i] | ✔ | |
| 14 | Linear OA(3229, 6582, F3, 42) (dual of [6582, 6353, 43]-code) | [i] | ✔ | |
| 15 | Linear OA(3210, 6579, F3, 39) (dual of [6579, 6369, 40]-code) | [i] | ✔ | |
| 16 | Linear OA(3249, 6590, F3, 45) (dual of [6590, 6341, 46]-code) | [i] | ✔ | |
| 17 | Linear OA(3249, 6602, F3, 44) (dual of [6602, 6353, 45]-code) | [i] | ✔ | |
| 18 | Linear OA(3217, 6590, F3, 39) (dual of [6590, 6373, 40]-code) | [i] | ✔ | |
| 19 | Linear OA(3219, 6598, F3, 39) (dual of [6598, 6379, 40]-code) | [i] | ✔ | |
| 20 | Linear OA(3220, 6603, F3, 39) (dual of [6603, 6383, 40]-code) | [i] | ✔ | |
| 21 | Linear OA(3221, 6606, F3, 39) (dual of [6606, 6385, 40]-code) | [i] | ✔ | |
| 22 | Linear OA(3217, 6602, F3, 38) (dual of [6602, 6385, 39]-code) | [i] | ✔ | |
| 23 | Linear OA(3226, 6627, F3, 39) (dual of [6627, 6401, 40]-code) | [i] | ✔ | |
| 24 | Linear OA(3220, 6605, F3, 39) (dual of [6605, 6385, 40]-code) | [i] | ✔ | |
| 25 | Linear OA(3225, 6626, F3, 39) (dual of [6626, 6401, 40]-code) | [i] | ✔ | |